The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1  0  1  1  1 24  1  1 24 21  1  1  1 24  1  1  0  1  1  1  1  1 21  0 21  1  1  1  6  1  1  1  1  9  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 24 19  1  4  0 26  1 16  0  1  1 21 19 16  1 24 21  1 26 16 24  0 23  1  1  1  7  4 23  1 25  9 16 20  1 26  8 16 21  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  0  9  0 18  0  0  0  0  9 18  9  0  9  9  0 18 18  9  9  0 18 18  9  9 18  9  0  0 18 18  9  9 18  0  9  0 18 18  0  9
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0 18  0 18 18  0  0 18  0 18 18  9 18  9 18  9  0  9  9 18  0  9  9 18  9 18  0  0  0 18  9  0  9  0  0  9  0  9  0  9  0  0 18
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18 18  9 18  0  9  9  0 18 18 18  0 18  9  9  0  0  9  0  9  0  9  9  9  9 18  0  0 18 18  0  0  0 18  9 18  9 18 18 18 18
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9 18  0  0  0  9  9  9  9  9 18  0 18  0  9 18 18  9  9  9  0  0  0 18 18 18  9  0  9  0 18  0 18 18  0  0  0  9 18 18 18 18  0

generates a code of length 62 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+34x^111+18x^112+210x^113+330x^114+432x^115+786x^116+440x^117+1944x^118+2370x^119+2104x^120+5472x^121+5916x^122+2890x^123+9504x^124+7266x^125+3374x^126+7128x^127+4332x^128+1368x^129+1638x^130+786x^131+198x^132+108x^133+156x^134+82x^135+48x^137+40x^138+26x^141+12x^144+16x^147+10x^150+6x^153+2x^156+2x^159

The gray image is a code over GF(3) with n=558, k=10 and d=333.
This code was found by Heurico 1.16 in 9.87 seconds.